中国物理B ›› 2014, Vol. 23 ›› Issue (6): 64208-064208.doi: 10.1088/1674-1056/23/6/064208

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Gap solitons in parity–time complex superlattice with dual periods

王红成a, 凌东雄a, 张绍强a, 朱兴b, 何影记c   

  1. a College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China;
    b State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China;
    c School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China
  • 收稿日期:2013-10-11 修回日期:2013-11-07 出版日期:2014-06-15 发布日期:2014-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61308019) and the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province, China (Grant No. Yq2013157).

Gap solitons in parity–time complex superlattice with dual periods

Wang Hong-Cheng (王红成)a, Ling Dong-Xiong (凌东雄)a, Zhang Shao-Qiang (张绍强)a, Zhu Xing (朱兴)b, He Ying-Ji (何影记)c   

  1. a College of Electronic Engineering, Dongguan University of Technology, Dongguan 523808, China;
    b State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China;
    c School of Electronics and Information, Guangdong Polytechnic Normal University, Guangzhou 510665, China
  • Received:2013-10-11 Revised:2013-11-07 Online:2014-06-15 Published:2014-06-15
  • Contact: Wang Hong-Cheng E-mail:hc_wang@126.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61308019) and the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province, China (Grant No. Yq2013157).

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摘要： A theory is presented to investigate the existence and propagation stability of gap solitons in a parity-time (PT) complex superlattice with dual periods. In this superlattice, the real and imaginary parts are both in the form of superlattices with dual periods. In the self-focusing nonlinearity, PT solitons can exist in the semi-infinite gap. However, only those gap solitons with low powers can propagate stably, whereas the high-power solitons present periodic oscillation and simultaneously suffer energy decay. In the self-defocusing nonlinearity, PT solitons only exist in the first gap and all these solitons are stable.

关键词: spatial soliton, parity-time soliton, gap soliton, superlattice

Abstract: A theory is presented to investigate the existence and propagation stability of gap solitons in a parity-time (PT) complex superlattice with dual periods. In this superlattice, the real and imaginary parts are both in the form of superlattices with dual periods. In the self-focusing nonlinearity, PT solitons can exist in the semi-infinite gap. However, only those gap solitons with low powers can propagate stably, whereas the high-power solitons present periodic oscillation and simultaneously suffer energy decay. In the self-defocusing nonlinearity, PT solitons only exist in the first gap and all these solitons are stable.

Key words: spatial soliton, parity-time soliton, gap soliton, superlattice

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation) 42.65.Wi (Nonlinear waveguides)